Congruent Triangles
Authored by Kris Dare
Mathematics
9th - 10th Grade
CCSS covered
Used 1K+ times
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About
This quiz focuses on the fundamental geometry topic of congruent triangles, specifically targeting the identification and application of triangle congruence postulates and theorems. Appropriate for grades 9-10, this assessment requires students to demonstrate mastery of the five primary methods for proving triangle congruence: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles). Students must analyze given diagrams and information to determine which congruence postulate applies, write proper congruence statements with corresponding vertices in the correct order, distinguish between included and non-included angles and sides, and apply the concept of CPCTC (Corresponding Parts of Congruent Triangles are Congruent) to solve for unknown variables and segment lengths. The questions demand strong spatial reasoning skills, the ability to identify sufficient versus insufficient information for proving congruence, and fluency in geometric notation and vocabulary. Created by Kris Dare, a Mathematics teacher in the US who teaches grades 9 and 10. This comprehensive assessment serves multiple instructional purposes throughout the congruent triangles unit, functioning effectively as formative assessment to gauge student understanding before moving to more complex proofs, as targeted practice for students who need reinforcement of specific postulates, or as a review tool before summative assessments. The quiz's progressive structure makes it valuable for homework assignments that allow students to work through problems at their own pace, while its focus on visual analysis and logical reasoning makes it an excellent warmup activity to activate prior knowledge before introducing triangle congruence proofs. The content directly supports Common Core standards G-CO.7 (using the definition of congruence in terms of rigid motions to show that two triangles are congruent) and G-CO.8 (explaining how the criteria for triangle congruence follow from the definition of congruence in terms of rigid motions), providing essential foundational skills for geometric reasoning and proof construction.
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30 questions
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1.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
Which congruence statement describes the triangles?
Tags
CCSS.HSG.CO.B.7
2.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
Which congruence statement describes the triangles?
Tags
CCSS.HSG.SRT.B.5
3.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
From the given congruence statement which is true?
Tags
CCSS.HSG.CO.B.7
4.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
From the given congruence statement which is true?
Tags
CCSS.HSG.CO.B.7
5.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
From the given congruence statement which is true?
Tags
CCSS.HSG.CO.B.7
6.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
From the given congruence statement which is true?
Tags
CCSS.HSG.CO.B.7
7.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
Decide whether enough information is given to show triangles congruent. If so, state the theorem or postulate you would use.
Tags
CCSS.HSG.SRT.B.5
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